The beam shown has a 30-ft. simple span; f = 5,000 psi, fps = 250,000 psi, and the initial prestress is 160,000 psi. Assume fpy = 0.85 fpu a. Find the concrete stresses in the top and bottom of the beam at midspan immediately after the tendons are cut; b. Assume 20% prestress losses in the tendons, find the new stresses at the top and bottom at midspan; c. Find the maximum service live load that the beam can support if allowable stresses of 0.60f, in compression and 12√ √f'c in tension are permitted. 21 in. 24 in. 0.9 in.² 3 in. -14 in.
The beam shown has a 30-ft. simple span; f = 5,000 psi, fps = 250,000 psi, and the initial prestress is 160,000 psi. Assume fpy = 0.85 fpu a. Find the concrete stresses in the top and bottom of the beam at midspan immediately after the tendons are cut; b. Assume 20% prestress losses in the tendons, find the new stresses at the top and bottom at midspan; c. Find the maximum service live load that the beam can support if allowable stresses of 0.60f, in compression and 12√ √f'c in tension are permitted. 21 in. 24 in. 0.9 in.² 3 in. -14 in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![2. The beam shown has a 30-ft. simple span; f. = 5,000 psi, fps = 250,000 psi, and
the initial prestress is 160,000 psi. Assume fpy = 0.85 fpu
a. Find the concrete stresses in the top and bottom of the beam at midspan
immediately after the tendons are cut;
b. Assume 20% prestress losses in the tendons, find the new stresses at
the top and bottom at midspan;
c. Find the maximum service live load that the beam can support if
allowable stresses of 0.60f, in compression and 12√/f'c in tension are
permitted.
21 in.
24 in.
0.9 in.²
3 in.
-14 in.-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bf706d1-25a1-4924-8fe7-91e3092b548a%2F82cf91d9-5bad-4cc7-b0ba-6735871ec178%2F0uvigkj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The beam shown has a 30-ft. simple span; f. = 5,000 psi, fps = 250,000 psi, and
the initial prestress is 160,000 psi. Assume fpy = 0.85 fpu
a. Find the concrete stresses in the top and bottom of the beam at midspan
immediately after the tendons are cut;
b. Assume 20% prestress losses in the tendons, find the new stresses at
the top and bottom at midspan;
c. Find the maximum service live load that the beam can support if
allowable stresses of 0.60f, in compression and 12√/f'c in tension are
permitted.
21 in.
24 in.
0.9 in.²
3 in.
-14 in.-
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